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The sufficient condition of stochastic delay population system with diffusion is obtained in Hilbert space.

利用Ito公式和Burkholder-Davis-Gandy定理及Gronwall-Bellman不等式,通过构造一个有界的柯西列,给出了Hilbert空间中随机时滞种群扩散系统解的存在性和唯一性的充分条件,文章所得到的结论是目前现有结果的推广。

By using new inequality techniques, homotopic mapping and constructing a new type Lyapunov func tional method, we obtain some new criteria guaranteeing global asymptoticstability.

研究多时滞Cohen-Grossberg神经网络的全局渐近稳定性,利用新的不等式技术,同伦映射及李雅普诺夫泛函方法,我们获得了几个新的准则。

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理,将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题;选取适当的同伦函数来表示该非线性矩阵不等式,采用同伦迭代算法及Schur补引理,将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

In chapter 2, the oscillation of a class of nonlinear hyperbolic equations with continuous distributed deviating arguments is studied.

第二章研究了一类带连续分布时滞变量的非线性双曲方程的振动性。

Design of robust sliding hyperplane s for parametric uncertain systems with time-delay.

时滞参数不确定系统的鲁棒滑模设计。

Identifiability analysis of linear time-delay system is one of research subjects in process control.

线性时滞系统的辨识性分析是过程控制理论的研究课题之一,通过对系统差分方程的讨论,在4个定义的基础上推出了2个定理,进而证明了可辨识性。

In chapter 3,we analyze the global attractor of static reaction-diffusion neural networks with time-varying delays using the semigroup theory of operators, the inequality skills and the imbedding method in Soblev space. A very useful and convenient criterion on the existence of the location of this global attractor is given. Furthermore, we can estimate the location of this global attractor in the space.

在第三章中,我们用算子的半群理论,不等式技巧和Soblev空间的嵌入方法分析了变时滞静态反应扩散神经网络的全局吸引子,给出了一个简洁实用的判定全局吸引子存在的准则,进而,估计了全局吸引子在空间中的位置。

Huntcapacitor compensation is simple and economic, but it can not follow the change of inductive loadin system, it can not achieve dynamic compensation of reactive power.

VC可以根据电网中无功功率的状况进行无功补偿,但是,在实际应用中SVC离不开具有时滞性的大容量储能元件,不能做到瞬时无功控制。

Because of the universal existence of parameter perturbation and the fault ineluctability for actuator and sensor, it is more important and practical to study robust fault-tolerant control of parameter perturbation for linear system with time-delay.

由于参数扰动的广泛存在性以及执行器和传感器发生故障的不可避免性,使得研究具有参数不确定的时滞系统的鲁棒容错控制问题具有更重要的现实意义。

In the second chapter, we consider the generalizations of continuous retarded integral inequalities and their applications.

第二章我们考虑了连续型时滞积分不等式的推广和应用。

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